Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, B

Time bar (total: 8.8s)

analyze155.0ms (1.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
50%49.9%49.9%0.1%0%0%0%7
50%49.9%49.9%0.1%0%0%0%8
50%49.9%49.9%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 25 to 19 computations (24% saved)

sample1.3s (14.8%)

Results
1.3s8256×body256valid
Bogosity

preprocess172.0ms (2%)

Algorithm
egg-herbie
Rules
1438×distribute-lft-in
1182×distribute-rgt-in
1028×fma-def
802×times-frac
648×associate-+l+
Problems
162×No Errors
77×(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
15×(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061416
1171408
2419376
31297368
43716368
57399368
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
Outputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 (neg.f64 x) (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (neg.f64 x))
(-.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) x)
(-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))
(+.f64 x (/.f64 (*.f64 (neg.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (neg.f64 y)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 (neg.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(fma.f64 y (/.f64 (fma.f64 z (+.f64 (*.f64 z -692910599291889/10000000000000000) -307332350656623/625000000000000) -11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (neg.f64 z) 692910599291889/10000000000000000 307332350656623/625000000000000) (neg.f64 z) 11167812716741/40000000000000)) (fma.f64 (+.f64 6012459259764103/1000000000000000 (neg.f64 z)) (neg.f64 z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 (neg.f64 z) (-.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) (fma.f64 (neg.f64 z) (+.f64 307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000)) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 (neg.f64 z) (-.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) (fma.f64 (neg.f64 z) (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (-.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (*.f64 x (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(+.f64 y (*.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (/.f64 y (/.f64 (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000) (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000))))
(+.f64 z (*.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) z)
(fma.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (/.f64 z (/.f64 (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000) (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 126 to 92 computations (27% saved)

eval1.0ms (0%)

Compiler

Compiled 73 to 49 computations (32.9% saved)

prune5.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
70.1%
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
70.1%
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
70.1%
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
70.1%
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Compiler

Compiled 172 to 124 computations (27.9% saved)

localize420.0ms (4.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.7%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
95.8%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
71.0%
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
99.2%
(*.f64 z 692910599291889/10000000000000000)
90.7%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
65.4%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
99.9%
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
99.9%
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
99.7%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
71.2%
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
99.9%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
99.7%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
95.8%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
65.7%
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
Compiler

Compiled 301 to 208 computations (30.9% saved)

series28.0ms (0.3%)

Counts
16 → 288
Calls

72 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
2.0ms
y
@0
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms
z
@0
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
1.0ms
z
@inf
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
1.0ms
y
@inf
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

rewrite238.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
950×expm1-udef
556×add-sqr-sqrt
534×pow1
534×*-un-lft-identity
522×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030374
1701374
27708374
Stop Event
node limit
Counts
16 → 582
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
Outputs
(+.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(+.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 1)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 1 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 1 (/.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (*.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (*.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (*.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (*.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (*.f64 (neg.f64 y) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (*.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(/.f64 (*.f64 (neg.f64 y) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (*.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) y) (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) 1) (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (neg.f64 y)) (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) 1) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (neg.f64 y)) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (/.f64 y 1) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 3)
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(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

simplify402.0ms (4.6%)

Algorithm
egg-herbie
Rules
1224×fma-def
888×times-frac
698×distribute-rgt-in
672×distribute-lft-in
534×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099632584
1272731930
Stop Event
node limit
Counts
870 → 563
Calls
Call 1
Inputs
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(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) -1)
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(exp.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
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(/.f64 1 (/.f64 (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z)) -94453173760125479739253764129/390625000000000000000000000000)))
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z)) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000))))
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(/.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z)) -94453173760125479739253764129/390625000000000000000000000000) (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000))
(/.f64 (neg.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000)) (neg.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z)) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)))))
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(/.f64 (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z))) (-.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))
(pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (/.f64 124720040876201995101661081/1600000000000000000000000000 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
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(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
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(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
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(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Outputs
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z))))
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -11167812716741/40000000000000))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -11167812716741/40000000000000))))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -11167812716741/40000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 11167812716741/40000000000000 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))
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(*.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -11167812716741/40000000000000)))))
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

eval422.0ms (4.8%)

Compiler

Compiled 21047 to 14573 computations (30.8% saved)

prune161.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New77811789
Fresh000
Picked314
Done000
Total78112793
Accuracy
100.0%
Counts
793 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(fma.f64 y 279195317918525/3350343815022304 x)
80.6%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
76.9%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.1%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.6%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.3%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
63.0%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
51.1%
x
80.6%
(fma.f64 y 279195317918525/3350343815022304 x)
80.6%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
76.9%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.1%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.6%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
64.3%
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
63.0%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
51.1%
x
Compiler

Compiled 524 to 386 computations (26.3% saved)

localize122.0ms (1.4%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))
99.5%
(*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)
99.4%
(*.f64 307332350656623/2093964884388940 y)
94.1%
(-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))
100.0%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
100.0%
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
99.8%
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
99.8%
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
100.0%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
99.7%
(*.f64 y 279195317918525/3350343815022304)
100.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
99.9%
(/.f64 y 10000000000000000/692910599291889)
100.0%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
99.9%
(/.f64 y 3350343815022304/279195317918525)
Compiler

Compiled 125 to 80 computations (36% saved)

series27.0ms (0.3%)

Counts
14 → 204
Calls

63 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
(*.f64 307332350656623/2093964884388940 y)
3.0ms
y
@inf
(*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)
2.0ms
x
@0
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
1.0ms
y
@0
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms
y
@inf
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

rewrite150.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
582×add-sqr-sqrt
550×add-exp-log
550×add-log-exp
550×log1p-expm1-u
550×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025150
1610146
Stop Event
node limit
Counts
14 → 410
Calls
Call 1
Inputs
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(/.f64 y 10000000000000000/692910599291889)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))
(*.f64 307332350656623/2093964884388940 y)
(*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)
(*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 1 (*.f64 y 279195317918525/3350343815022304))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))
(*.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))
(*.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(*.f64 (*.f64 279195317918525/3350343815022304 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)
(neg.f64 (/.f64 y -3350343815022304/279195317918525))
(sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))
(log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (/.f64 1 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (-.f64 x (*.f64 y 279195317918525/3350343815022304)))) (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))
(/.f64 1 (/.f64 (-.f64 (*.f64 y 279195317918525/3350343815022304) x) (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (-.f64 x (*.f64 y 279195317918525/3350343815022304)))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))) (neg.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2))
(log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 y 279195317918525/3350343815022304 x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x)
(fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 1 (*.f64 y 692910599291889/10000000000000000))
(*.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (cbrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000))
(*.f64 (neg.f64 y) -692910599291889/10000000000000000)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(neg.f64 (/.f64 y -10000000000000000/692910599291889))
(sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (/.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))
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simplify197.0ms (2.2%)

Algorithm
egg-herbie
Rules
1042×associate-*r*
1008×associate-*l*
992×fma-def
418×times-frac
336×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080711744
1200010968
Stop Event
node limit
Counts
614 → 496
Calls
Call 1
Inputs
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(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 29028515918677826297037119458939297513676367/9181384663159715812460602687596514022620984000) (pow.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) 3))) (+.f64 (*.f64 (*.f64 y y) 94453173760125479739253764129/4384688937053986860117194323600) (*.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) (+.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) (*.f64 y 307332350656623/2093964884388940)))))
(/.f64 (*.f64 z (*.f64 (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080) (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))) (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) 29028515918677826297037119458939297513676367/9181384663159715812460602687596514022620984000) (pow.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) 3)) z) (+.f64 (*.f64 (*.f64 y y) 94453173760125479739253764129/4384688937053986860117194323600) (*.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) (+.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) (*.f64 y 307332350656623/2093964884388940)))))
(/.f64 (*.f64 (*.f64 (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080) (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)) z) (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080))
(pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 2))
(log.f64 (exp.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(exp.f64 (log.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
Outputs
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(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 29028515918677826297037119458939297513676367/9181384663159715812460602687596514022620984000) (pow.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) 3))) (+.f64 (*.f64 (*.f64 y y) 94453173760125479739253764129/4384688937053986860117194323600) (*.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) (+.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) (*.f64 y 307332350656623/2093964884388940)))))
(/.f64 z (/.f64 (fma.f64 (*.f64 y y) 94453173760125479739253764129/4384688937053986860117194323600 (*.f64 y (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080)))) (-.f64 (*.f64 (pow.f64 y 3) 29028515918677826297037119458939297513676367/9181384663159715812460602687596514022620984000) (*.f64 (pow.f64 y 3) 4730214474189818436188490879472598314687003836892675262782515040887784796190329490222921875/1414282807163193834660448409062029194989921721778260046273197845336475556622027639018850615296))))
(/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 y 94453173760125479739253764129/4384688937053986860117194323600) (*.f64 5583394492147424608156408809889906723702258037438160831390265/125996217628908723539813148455085995022717487031805945557549056 y))) (*.f64 (pow.f64 y 3) -32339725061632056326293119579279605929421480008507352571603347414050991376781854702730878919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)))
(/.f64 (*.f64 z (*.f64 (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080) (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))) (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080))
(*.f64 (/.f64 z y) (/.f64 (*.f64 y (*.f64 16630604693939553500088691095511/56124018394291031809500087342080 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))) 16630604693939553500088691095511/56124018394291031809500087342080))
(/.f64 z (/.f64 1 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) 29028515918677826297037119458939297513676367/9181384663159715812460602687596514022620984000) (pow.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) 3)) z) (+.f64 (*.f64 (*.f64 y y) 94453173760125479739253764129/4384688937053986860117194323600) (*.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) (+.f64 (*.f64 y 1678650474502018223880473708075/11224803678858206361900017468416) (*.f64 y 307332350656623/2093964884388940)))))
(/.f64 z (/.f64 (fma.f64 (*.f64 y y) 94453173760125479739253764129/4384688937053986860117194323600 (*.f64 y (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080)))) (-.f64 (*.f64 (pow.f64 y 3) 29028515918677826297037119458939297513676367/9181384663159715812460602687596514022620984000) (*.f64 (pow.f64 y 3) 4730214474189818436188490879472598314687003836892675262782515040887784796190329490222921875/1414282807163193834660448409062029194989921721778260046273197845336475556622027639018850615296))))
(/.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 y 94453173760125479739253764129/4384688937053986860117194323600) (*.f64 5583394492147424608156408809889906723702258037438160831390265/125996217628908723539813148455085995022717487031805945557549056 y))) (*.f64 (pow.f64 y 3) -32339725061632056326293119579279605929421480008507352571603347414050991376781854702730878919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)))
(/.f64 (*.f64 (*.f64 (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080) (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)) z) (*.f64 y 16630604693939553500088691095511/56124018394291031809500087342080))
(*.f64 (/.f64 z y) (/.f64 (*.f64 y (*.f64 16630604693939553500088691095511/56124018394291031809500087342080 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))) 16630604693939553500088691095511/56124018394291031809500087342080))
(/.f64 z (/.f64 1 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))
(pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 1)
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 3)
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(pow.f64 (pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 3) 1/3)
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 2)
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 2))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) 2))
(fabs.f64 (*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(log.f64 (exp.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 3))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 3)))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 3) (pow.f64 z 3)))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(exp.f64 (log.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 1))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))

eval212.0ms (2.4%)

Compiler

Compiled 7859 to 5332 computations (32.2% saved)

prune123.0ms (1.4%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New4933496
Fresh156
Picked145
Done011
Total49513508
Accuracy
100.0%
Counts
508 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(fma.f64 y 279195317918525/3350343815022304 x)
80.5%
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
80.6%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
76.9%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.1%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.6%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
73.3%
(+.f64 x (/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)))
63.0%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
51.1%
x
80.6%
(fma.f64 y 279195317918525/3350343815022304 x)
80.5%
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
80.6%
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
76.9%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.1%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.6%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
73.3%
(+.f64 x (/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)))
63.0%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
51.1%
x
Compiler

Compiled 476 to 356 computations (25.2% saved)

localize117.0ms (1.3%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
99.7%
(*.f64 279195317918525/3350343815022304 y)
99.6%
(*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))
99.6%
(*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)
100.0%
(+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))
100.0%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
99.9%
(*.f64 z 155900051080628738716045985239/389750127738131234692690878125)
99.8%
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
100.0%
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
99.9%
(/.f64 3350343815022304/279195317918525 y)
99.2%
(/.f64 1 (/.f64 3350343815022304/279195317918525 y))
100.0%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
99.2%
(*.f64 y 692910599291889/10000000000000000)
99.8%
(fma.f64 y 279195317918525/3350343815022304 x)
Compiler

Compiled 106 to 67 computations (36.8% saved)

series19.0ms (0.2%)

Counts
14 → 252
Calls

69 calls:

TimeVariablePointExpression
6.0ms
x
@0
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
1.0ms
y
@0
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
1.0ms
y
@inf
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
1.0ms
y
@-inf
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
1.0ms
z
@inf
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))

rewrite181.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
594×add-sqr-sqrt
566×pow1
566×*-un-lft-identity
556×add-exp-log
556×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027166
1627154
Stop Event
node limit
Counts
14 → 363
Calls
Call 1
Inputs
(fma.f64 y 279195317918525/3350343815022304 x)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(/.f64 1 (/.f64 3350343815022304/279195317918525 y))
(/.f64 3350343815022304/279195317918525 y)
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))
(*.f64 z 155900051080628738716045985239/389750127738131234692690878125)
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))
(*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)
(*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
Outputs
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(+.f64 (*.f64 x 1) (*.f64 (*.f64 y 279195317918525/3350343815022304) 1))
(+.f64 (*.f64 (*.f64 y 279195317918525/3350343815022304) 1) (*.f64 x 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (-.f64 x (*.f64 y 279195317918525/3350343815022304)))) (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 y 279195317918525/3350343815022304) x) (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (-.f64 x (*.f64 y 279195317918525/3350343815022304)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))
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(/.f64 (+.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2) (pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 2)) (-.f64 (fma.f64 y 279195317918525/3350343815022304 x) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 2) (*.f64 x x)) (-.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) x))
(pow.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))) 3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))))
(fma.f64 1 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(fma.f64 1 (fma.f64 y 279195317918525/3350343815022304 x) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(fma.f64 1 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(fma.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(fma.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))

simplify322.0ms (3.7%)

Algorithm
egg-herbie
Rules
1384×fma-neg
1224×log-prod
652×fma-def
620×associate-*r*
542×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072811675
1169310709
2643810681
Stop Event
node limit
Counts
615 → 462
Calls
Call 1
Inputs
x
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x
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x
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x
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x
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x
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x
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(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))))
(fma.f64 1 x (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(fma.f64 1 (fma.f64 y 279195317918525/3350343815022304 x) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(fma.f64 1 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(fma.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(fma.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
Outputs
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
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(*.f64 y 692910599291889/10000000000000000)
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(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
x
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
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(+.f64 x (*.f64 692910599291889/10000000000000000 y))
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(fma.f64 y 692910599291889/10000000000000000 x)
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(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
x
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 y 692910599291889/10000000000000000 x)
x
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(fma.f64 y 692910599291889/10000000000000000 x)
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(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
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(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 279195317918525/3350343815022304 y x)
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
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(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(*.f64 y (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304))
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(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) (fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (*.f64 279195317918525/3350343815022304 y)))
(+.f64 (*.f64 y (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000)) (*.f64 y (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304)))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (+.f64 (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))) (+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (*.f64 279195317918525/3350343815022304 y))))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) (fma.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3)) (fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (*.f64 279195317918525/3350343815022304 y))))
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(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
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(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
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(fma.f64 y (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304) x)
(fma.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(fma.f64 y (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304) x)
(fma.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) x)
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(fma.f64 y (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(fma.f64 y (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304) x)

eval182.0ms (2.1%)

Compiler

Compiled 6763 to 4481 computations (33.7% saved)

prune94.0ms (1.1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New4602462
Fresh033
Picked235
Done145
Total46312475
Accuracy
100.0%
Counts
475 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(fma.f64 y 279195317918525/3350343815022304 x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
76.9%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.1%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.6%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
73.3%
(+.f64 x (/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)))
27.9%
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
31.3%
(*.f64 279195317918525/3350343815022304 y)
51.1%
x
80.6%
(fma.f64 y 279195317918525/3350343815022304 x)
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
76.9%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.1%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.6%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
73.3%
(+.f64 x (/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)))
27.9%
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
31.3%
(*.f64 279195317918525/3350343815022304 y)
51.1%
x
Compiler

Compiled 270 to 204 computations (24.4% saved)

localize192.0ms (2.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)
99.9%
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))
99.2%
(*.f64 z 692910599291889/10000000000000000)
71.2%
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))
100.0%
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
99.8%
(/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)
99.8%
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
98.9%
(/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y))
100.0%
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
99.7%
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
99.5%
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
99.7%
(*.f64 279195317918525/3350343815022304 y)
Compiler

Compiled 153 to 108 computations (29.4% saved)

series10.0ms (0.1%)

Counts
8 → 111
Calls

36 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)
1.0ms
z
@-inf
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))
1.0ms
y
@0
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))
1.0ms
y
@0
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
0.0ms
y
@0
(/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)

rewrite162.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
668×add-sqr-sqrt
630×add-exp-log
630×add-cbrt-cube
630×add-log-exp
630×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029180
1667166
Stop Event
node limit
Counts
8 → 226
Calls
Call 1
Inputs
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y))
(/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) 1)
(pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 1)
(pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 3)
(pow.f64 (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000 (pow.f64 z 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 2)
(sqrt.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400 (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 -155900051080628738716045985239/56124018394291031809500087342080) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(cbrt.f64 (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(exp.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(exp.f64 (*.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 1))
(log1p.f64 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (*.f64 y 279195317918525/3350343815022304))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y))
(+.f64 (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y) (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 (*.f64 y 279195317918525/3350343815022304) 1) (*.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 1))
(+.f64 (*.f64 (*.f64 279195317918525/3350343815022304 y) 1) (*.f64 (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) (pow.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) 3)) (+.f64 (*.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) (*.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3) (pow.f64 (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y) 3)) (+.f64 (*.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 279195317918525/3350343815022304 y)) (-.f64 (*.f64 (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y) (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y)) (*.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y 279195317918525/3350343815022304)) (*.f64 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (-.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(/.f64 (-.f64 (*.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 279195317918525/3350343815022304 y)) (*.f64 (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y) (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y))) (-.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y)))
(pow.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))) 3)
(pow.f64 (pow.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))))
(fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(fma.f64 279195317918525/3350343815022304 y (*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))) 1)
(-.f64 (/.f64 77950025547626246938538175625/11224803678858206361900017468416 (-.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) (/.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400 (*.f64 z z)) (-.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(*.f64 1 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)) 2) (cbrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)))
(*.f64 (sqrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)) (sqrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)))
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(*.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 1) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(*.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2)) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(*.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(pow.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 2)
(pow.f64 (/.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) y) -1)
(neg.f64 (/.f64 y (/.f64 (neg.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000)
(+.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 1) 11167812716741/40000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 1)
(*.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 124720040876201995101661081/1600000000000000000000000000) (-.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(pow.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))

simplify256.0ms (2.9%)

Algorithm
egg-herbie
Rules
980×associate-*r*
792×associate-*l*
758×fma-neg
688×fma-def
510×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07129573
119278985
277248961
Stop Event
node limit
Counts
337 → 366
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
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(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
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(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
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(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
279195317918525/3350343815022304
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 692910599291889/10000000000000000 y)
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(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(/.f64 10000000000000000/692910599291889 y)
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(/.f64 10000000000000000/692910599291889 y)
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))
(/.f64 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) y)
(/.f64 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) y)
(/.f64 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) y)
(/.f64 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) y)
(/.f64 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) y)
(/.f64 (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) y)
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(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (/.f64 y (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (/.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2)) (cbrt.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))))
(*.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 1) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(*.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2)) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(*.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(pow.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 2)
(pow.f64 (/.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) y) -1)
(neg.f64 (/.f64 y (/.f64 (neg.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000)
(+.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 1) 11167812716741/40000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 1)
(*.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 124720040876201995101661081/1600000000000000000000000000) (-.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(pow.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
Outputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))
279195317918525/3350343815022304
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z))
(*.f64 (*.f64 y z) -160041699537014921582740396107/2504069538682520235663395798110)
(*.f64 y (*.f64 z -160041699537014921582740396107/2504069538682520235663395798110))
(+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z)) (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (*.f64 z z))))
(fma.f64 (*.f64 y z) -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 (*.f64 z z) (*.f64 y -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721)))
(+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z)) (+.f64 (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2))) (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y (pow.f64 z 3)))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (*.f64 z z)) (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y (pow.f64 z 3)))))
(fma.f64 (*.f64 y z) -160041699537014921582740396107/2504069538682520235663395798110 (fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 (pow.f64 z 3) -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731))))
(+.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z)) (+.f64 (*.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y (pow.f64 z 3))) (*.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (*.f64 y (pow.f64 z 4))))))
(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (*.f64 z z)) (fma.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (*.f64 y (pow.f64 z 3)) (*.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (*.f64 y (pow.f64 z 4))))))
(fma.f64 (*.f64 y z) -160041699537014921582740396107/2504069538682520235663395798110 (fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (*.f64 y (*.f64 z z)) (fma.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (*.f64 y (pow.f64 z 4)) (*.f64 y (*.f64 (pow.f64 z 3) -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731)))))
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(*.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
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(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
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(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(*.f64 y (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000)
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (fma.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z)) 124720040876201995101661081/1600000000000000000000000000) (-.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z) 11167812716741/40000000000000))
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3)
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(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
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(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
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(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
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(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
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(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
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eval186.0ms (2.1%)

Compiler

Compiled 8465 to 6019 computations (28.9% saved)

prune123.0ms (1.4%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New4482450
Fresh011
Picked044
Done077
Total44814462
Accuracy
100.0%
Counts
462 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(fma.f64 y 279195317918525/3350343815022304 x)
31.3%
(/.f64 y 3350343815022304/279195317918525)
31.3%
(/.f64 1 (/.f64 3350343815022304/279195317918525 y))
77.9%
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
64.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
70.6%
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
73.4%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
76.9%
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
78.1%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
80.6%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
73.3%
(+.f64 x (/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)))
27.9%
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
31.3%
(*.f64 279195317918525/3350343815022304 y)
51.1%
x
Compiler

Compiled 361 to 256 computations (29.1% saved)

regimes233.0ms (2.7%)

Counts
22 → 2
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(/.f64 1 (/.f64 3350343815022304/279195317918525 y))
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Outputs
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

5 calls:

115.0ms
x
41.0ms
y
32.0ms
z
19.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
18.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
AccuracySegmentsBranch
87.6%5x
87.3%3y
99.8%3z
99.6%2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
99.6%2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 270 to 186 computations (31.1% saved)

regimes81.0ms (0.9%)

Counts
18 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(/.f64 1 (/.f64 3350343815022304/279195317918525 y))
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma.f64 y 279195317918525/3350343815022304 x)
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

3 calls:

27.0ms
z
24.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
24.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
AccuracySegmentsBranch
99.8%3z
99.8%3(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
99.8%3(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 190 to 132 computations (30.5% saved)

regimes88.0ms (1%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(/.f64 1 (/.f64 3350343815022304/279195317918525 y))
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)))
(+.f64 x (/.f64 1 (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) y)))
(+.f64 x (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
Outputs
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

1 calls:

77.0ms
z
Results
AccuracySegmentsBranch
99.1%3z
Compiler

Compiled 119 to 80 computations (32.8% saved)

regimes24.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(/.f64 1 (/.f64 3350343815022304/279195317918525 y))
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

1 calls:

21.0ms
z
Results
AccuracySegmentsBranch
98.7%3z
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes22.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 y 692910599291889/10000000000000000) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) x)
(/.f64 1 (/.f64 3350343815022304/279195317918525 y))
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (/.f64 1 (/.f64 3350343815022304/279195317918525 y)) x)
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

1 calls:

20.0ms
z
Results
AccuracySegmentsBranch
98.3%3z
Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes21.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
Outputs
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
Calls

3 calls:

10.0ms
x
6.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
80.6%1x
80.6%1y
80.6%1z
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes47.0ms (0.5%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
Outputs
(*.f64 279195317918525/3350343815022304 y)
x
(/.f64 y 3350343815022304/279195317918525)
Calls

3 calls:

21.0ms
x
16.0ms
z
10.0ms
y
Results
AccuracySegmentsBranch
65.6%5x
67.4%3y
58.0%5z
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes64.0ms (0.7%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
Outputs
(*.f64 279195317918525/3350343815022304 y)
x
(*.f64 279195317918525/3350343815022304 y)
Calls

1 calls:

63.0ms
y
Results
AccuracySegmentsBranch
67.3%3y
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

3.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
51.1%1z
51.1%1x
51.1%1y
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1954046906775634e+305
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch57.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
0.010756183006393638
589417650851743600.0
29.0ms
-1.694557767133887e+31
-25115781521.547462
Results
50.0ms352×body256valid
Compiler

Compiled 778 to 595 computations (23.5% saved)

bsearch43.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.010756183006393638
589417650851743600.0
17.0ms
-1016852946.688097
-6340411.015678417
Results
37.0ms288×body256valid
Compiler

Compiled 454 to 350 computations (22.9% saved)

bsearch50.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.010756183006393638
589417650851743600.0
23.0ms
-1016852946.688097
-6340411.015678417
Results
36.0ms288×body256valid
Compiler

Compiled 426 to 329 computations (22.8% saved)

bsearch42.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.010756183006393638
589417650851743600.0
16.0ms
-1016852946.688097
-6340411.015678417
Results
38.0ms288×body256valid
Compiler

Compiled 354 to 275 computations (22.3% saved)

bsearch64.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
54.0ms
17297813006827514.0
6974183844550106000.0
10.0ms
-1.0192439255405235e+20
-5.637626587840312e+19
Results
61.0ms192×body256valid
Compiler

Compiled 174 to 143 computations (17.8% saved)

bsearch29.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
17297813006827514.0
6974183844550106000.0
10.0ms
-1.0192439255405235e+20
-5.637626587840312e+19
Results
26.0ms192×body256valid
Compiler

Compiled 174 to 143 computations (17.8% saved)

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Rules
28×+-commutative
16×*-commutative
if-if-or-not
sub-neg
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077503
1111503
2118503
3122503
4125503
5126503
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -5800000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 370000000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -6500000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 3433994715870003/562949953421312) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -6500000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3433994715870003/562949953421312) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -6500000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6417629469002957/1125899906842624) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(if (<=.f64 y -100000000000000000000) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 350000000000000000) x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -100000000000000000000) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 33000000000000000) x (*.f64 279195317918525/3350343815022304 y)))
x
Outputs
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -5800000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 370000000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -5800000000000000) (not (<=.f64 z 370000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) x))
(if (<=.f64 z -6500000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 3433994715870003/562949953421312) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -6500000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3433994715870003/562949953421312) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -6500000) (not (<=.f64 z 3433994715870003/562949953421312))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)))))
(if (<=.f64 z -6500000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6417629469002957/1125899906842624) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -6500000) (not (<=.f64 z 6417629469002957/1125899906842624))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(if (<=.f64 y -100000000000000000000) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 350000000000000000) x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -100000000000000000000) (*.f64 y 279195317918525/3350343815022304) (if (<=.f64 y 350000000000000000) x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -100000000000000000000) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 33000000000000000) x (*.f64 279195317918525/3350343815022304 y)))
(if (<=.f64 y -100000000000000000000) (*.f64 y 279195317918525/3350343815022304) (if (<=.f64 y 33000000000000000) x (*.f64 y 279195317918525/3350343815022304)))
x
Compiler

Compiled 217 to 158 computations (27.2% saved)

soundness1.7s (19.8%)

Rules
1438×distribute-lft-in
1438×distribute-lft-in
1224×fma-def
1224×fma-def
1224×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061416
1171408
2419376
31297368
43716368
57399368
061416
1171408
2419376
31297368
43716368
57399368
099632584
1272731930
027166
1627154
099632584
1272731930
099632584
1272731930
030374
1701374
27708374
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 435 to 306 computations (29.7% saved)

end0.0ms (0%)

preprocess150.0ms (1.7%)

Compiler

Compiled 570 to 398 computations (30.2% saved)

Profiling

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